Applying and analysing functions

In the recursive form f(1) = -2 ; f(x) = f(x-1) + 5 , ​ ​ ​ ​ ​ (a)   is the first term and ​ ​​ ​ ​ (b)   is the common number.

• 4
• -3
• x
• x-1
• 9
• 2.25
• -4
• -2
• 5

What is the recursive equation for the function represented in the table?

Define recursively

• relating to or involving the repeated application of a rule, definition, or procedure to successive results

• the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

In the recursive form f(1) = 2.25, f(x) = f(x-1) + 6, ______ is in the first position of the sequence.

Which of the following represents the sequence 3, 6, 9, 12, ...

• 1, 3, 5, 7, ...

• f(1)=3; f(x)=f(x-1)*2

• f(x)=27(1/3)^x

• 
• 

Given the explicit rule f(n)=-28-5n find the recursive rule

• f(1)=-33 f(n) = f(n-1)-5

• f(1)=-32 f(n) = f(n-1)-5

• f(1)=-33 f(n) = f(n-1)-4

• f(1)=-23 f(n) = f(n-1)+5

An ______________ is one in which the output

from one iteration is used as the input for the

next iteration.

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

The recursive formula for an arithmetic sequence?

• x1 = a; x1 = xi-1 + d

• x1 = a; x1 = (xi-1)r

• 2

• 3

• 8

• -3